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Research Papers
Some relations between zeros and universality of the Riemann zeta-function
R. Macaitienėab a Research Institute, Šiauliai University, P. Višinskio str. 25,
LT-76351 Šiauliai, Lithuania
b Faculty of Business and Technologies, Šiauliai State College, Aušros av. 40, LT-76241 Šiauliai, Lithuania
Abstract:
In the paper, we give some remarks on the density of shifts of the Riemann zeta-function $\zeta(s+i\gamma_k)$, which approximate a wide class of analytic functions. Here the $\gamma_k$ denote imaginary parts of nontrivial zeros of $\zeta(s)$.
Keywords:
Riemann zeta-function, discrete universality, nontrivial zeros.
Received: 25.06.2018
Citation:
R. Macaitienė, “Some relations between zeros and universality of the Riemann zeta-function”, Algebra i Analiz, 31:1 (2019), 72–79; St. Petersburg Math. J., 31:1 (2020), 53–58
Linking options:
https://www.mathnet.ru/eng/aa1627 https://www.mathnet.ru/eng/aa/v31/i1/p72
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